All categories

3 years ago

Danielle's father gave her $113. Danielle bought 5 books, each of which cost $8. How much money does Danielle have left?

Mathematics

1 answer:

MrRissso [65]3 years ago

7 0

Answer:63 I think

Step-by-step explanation:

5 times 8 = 40 113-40=63

You might be interested in

Jake made a wooden cone with a diameter of 6 inches and a height of 4.5 inches. What is the volume of this cone?

serious [3.7K]

Answer:

42.42in³

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, a cone

Step one

We know that the volume of a cone is

V= 1/3πr²h

Given data

Diameter d= 6 inches

Radius r= diameter/2= 6/2= 3 inches

Height h = 4.5 inches

Step two

Substituting our given data we have

Volume = 1/3*3.142*3²*4.5

V= 1/3*3.142*9*4.5

V= 127.251/3

V= 42.42in³

7 0

3 years ago

Q5: Identify the graph of the equation and write an equation of the translated or rotated graph in general form.

MAVERICK [17]

Answer:

$d.\:ellipse;\:3x^2+y^2+6x-6y+3=0$ .

Step-by-step explanation:

The given conic has equation;

$3x^2+y^2=9$

Divide through by 9.

$\Rightarrow \frac{3x^2}{9}+\frac{y^2}{9}=\frac{9}{9}$

$\Rightarrow \frac{x^2}{3}+\frac{y^2}{9}=1$ .

This is an ellipse centered at the origin;

This ellipse has been translated so that the center is now at;

$(-1,3)$

The translated ellipse has equation;

$\frac{(x+1)^2}{3}+\frac{(y-3)^2}{9}=1$ .

Clear the fraction;

$3(x+1)^2+(y-3)^2=9$ .

Expand;

$3(x^2+2x+1)+(y^2-6y+9)=9$ .

$3x^2+6x+3+y^2-6y+9=9$ .

Write in general form;

$3x^2+y^2+6x-6y+9-9+3=0$ .

$3x^2+y^2+6x-6y+3=0$ .

The correct choice is D

4 0

3 years ago

Read 2 more answers

Explain how multiplying with 6 is like multiplying by 3

ioda

3 doubled equals 6, so every second multiple of three is also a multiple of six.

Examples:

3 times 4 is 12, and 6 times 2 is 12

3 times 6 is 18, and 6 times 3 is 18

3 times 8 is 24, and 6 times 4 is 24

5 0

3 years ago

Read 2 more answers

How do you graph this <br> y-2x=0<br> y=4x+3

Svetlanka [38]

Answer:

Step-by-step explanation:

those are 2 lines, and to graph them find 2 points for each to draw a line trough them

line 1

y-2x=0 so y=2x

pick any value for x

(x=1, y=2*1=2), (x=3, y=2*3=6)

Draw a line trough points (1,2) and (3,6)

line 2

y=4x+3

(x=1, y=4*1+3=7), (x= -1, y= 4(-1)+3= -1)

Draw a line trough points (1,7) and (-1, -1)

5 0

3 years ago

What is an equation of the line that passes through the points (-3, 7) and (3, 3)?

Margarita [4]

Answer:

$y = -\frac{2}{3}x + 5$

Step-by-step explanation:

First you have to find the slope

$m = \frac{7 - 3}{-3 - 3} = \frac{4}{-6} = -\frac{2}{3}$

Now use the point-slope form by using one of the points and the slope. Let's use the point (3, 3)

$y - 3 = -\frac{2}{3} (x - 3)$

Multiply thru the equation by 3 to remove the fraction

3y - 9 = -2(x - 3) =

3y - 9 = -2x +6

3y = -2x + 15

$y = -\frac{2}{3}x + 5$ is the equation in slope-intercept form

3 0

3 years ago